A Galerkin Approach for Solving Matrix Equations with Hierarchical Matrices

Boysen, Dirk and Börm, Steffen (2013) A Galerkin Approach for Solving Matrix Equations with Hierarchical Matrices PAMM, 13 (1). pp. 405-406. DOI 10.1002/pamm.201310198.

Full text not available from this repository.

Supplementary data:

Abstract

We consider a new approach for computing solutions of certain matrix equations, for example AXA = C, AX + XB = C
or AX = I. This approach is based on a variational formulation in the matrix space, employing the Frobenius inner product.
Using the space of H2
-matrices as trial space leads to a sparse linear system that can be solved by iterative methods to compute
an approximate solution of the underlying matrix equation.

Document Type: Article
Research affiliation: Kiel University
Kiel University > Kiel Marine Science
OceanRep > The Future Ocean - Cluster of Excellence > FO-R11
OceanRep > The Future Ocean - Cluster of Excellence
Refereed: Yes
DOI etc.: 10.1002/pamm.201310198
ISSN: 16177061
Projects: Future Ocean
Date Deposited: 31 Jan 2018 13:16
Last Modified: 31 Jan 2018 13:16
URI: http://eprints.uni-kiel.de/id/eprint/41778

Actions (login required)

View Item View Item